34037568 has 42 divisors (see below), whose sum is σ = 97564194. Its totient is φ = 11345664.

The previous prime is 34037567. The next prime is 34037581. The reversal of 34037568 is 86573043.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 33732864 + 304704 = 5808^2 + 552^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34037567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28971 + ... + 30122.

It is an arithmetic number, because the mean of its divisors is an integer number (2322957).

Almost surely, 2^34037568 is an apocalyptic number.

It is an amenable number.

34037568 is an abundant number, since it is smaller than the sum of its proper divisors (63526626).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34037568 is a wasteful number, since it uses less digits than its factorization.

34037568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59111 (or 59098 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 34037568 is about 5834.1724348874. The cubic root of 34037568 is about 324.0804555569.

The spelling of 34037568 in words is "thirty-four million, thirty-seven thousand, five hundred sixty-eight".